# On one estimate of divided differences and its applications

12 Jan 2019 Kopotun K. A. Leviatan D. Shevchuk I. A.

We give an estimate of the general divided differences $[x_0,\dots,x_m;f]$, where some of the $x_i$'s are allowed to coalesce (in which case, $f$ is assumed to be sufficiently smooth). This estimate is then applied to significantly strengthen Whitney and Marchaud celebrated inequalities in relation to Hermite interpolation... (read more)

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